Domain of a function f(x) is set of those values of x which will make the function mathematically legal or correct..certain operations like division by zero , square root of a negative number do not exist in real maths.

1. Domain excludesx - values that result in division by zero.

2. Domain excludesx - values that result in even roots of negative numbers.

Equate the denominator to zero.

2x - 1 = 0

Add 1 to each side.

2x - 1 + 1 = 0 + 1

2x = 1

Diide each side by 2.

2x /2 = 1/2

x = 1/2

The denominator is zero, when x = 1/2.

Domain excludes x - values that result in division by zero.

The function has an implied domain that consists of all real x other than x = 1/2.These values are excluded from the domain because division by zero is undefined.